2008-09: Honzik played for Karlovy Vary's U-18 squad. In 32 games, he turned in a 2.66 goals-against average and a .917 save percentage. In 2 playoff games, Honzik posted a 4.65 goals-against average and a .863 save percentage.
2009-10: Honzik again played for the Karlovy Vary U-18 team. In 38 games, he registered a 2.62 goals-against average and a .906 save percentage. In 3 playoff games, Honzik posted a 2.53 goals-against average and a .904 save percentage. Honzik played for the Czech Republic at the 2010 World U-17 Hockey Challenge, posting a 4.00 goals-against average and a .872 save percentage. Honzik was chosen in the first round, 33rd overall, of the 2010 CHL Import Draft by the QMJHL's Victoriaville Tigres.
2010-11: In his QMJHL rookie season, Honzik played in 36 games for the Tigres. He posted a 3.54 goals-against average an a .884 save percentage. In 9 playoff games, Honzik finished with a 3.28 goals-against average and a .919 save percentage. Honzik played for Team Cherry at the 2011 CHL Home Hardware Top Prospects Game, giving up 4 goals in his team's 7-1 loss to Team Orr.
2011-12: In his second season in North America, Honzik split the goaltending duties for the high-scoring Victoriaville Tigres with Blackhawks prospect Brandon Whitney. The Tigres led the league in goals scored (311) and finished second in the East Division. Honzik won 22 games with 16 losses, appearing in 43 games, and posted a 3.49 goals against and .885 save percentage. The Tigres were swept in four playoff games by Baie-Comeau. Honzik appeared in three games and was 0-2 with a 5.33 goals against and .804 save percentage.
A big goaltender, Honzik moves very well in the crease. Playing a butterfly style, he sometimes drops down too quick, but thanks to his large frame, he takes up a large part of the net even when on his knees. With such noticeable improvement over the course of the season, some think that Honzik is just scratching the surface of his potential.